Answer:
x = 12
Step-by-step explanation:
<1 and the 142-deg angle are vertical, so m<1 = 142 deg
The angle measuring 3x + 2 and <1 are same-side interior angles. If the lines are parallel, then those two angles are supplementary.
3x + 2 + 142 = 180
3x + 144 = 180
3x = 36
x = 12
Answer:
8.0
Step-by-step explanation:
The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:

tan(37) evaluates to about , so we can plug it in and solve for x:

To the nearest tenth, x rounds to 8.0.
Answer:
C. It cannot be factored into a perfect square.
Step-by-step explanation:
Take the square roots of all the numbers present (64, 49, 8) and you will find that 8, the constant, is not a perfect square.